Updates:
        Labels: smichr NeedsReview

Comment #4 on issue 2699 by [email protected]: apart() should be more careful about distributing over an Add
http://code.google.com/p/sympy/issues/detail?id=2699

You just need to combine terms from the same denominators

The problem is that the terms that need to combine are from two different terms

from first term: 2*p/(p**2 + 1) - 2/p
from second term: -(p - 1)/(2*(p**2 + 1)) + 1/(2*(p + 1))
combined by threaded: 2*p/(p**2 + 1) - (p - 1)/(2*(p**2 + 1)) + 1/(2*(p + 1)) - 2/p

xthreaded appears to have been written for cases such as this and I include the change from threaded to xthreaded in https://github.com/sympy/sympy/pull/2014

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